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Mnenie [13.5K]
3 years ago
15

What is the written form of the decimal number .954

Mathematics
2 answers:
Naddika [18.5K]3 years ago
6 0
Nine hundred and fifty four thousandth, i believe

11Alexandr11 [23.1K]3 years ago
5 0
The written form of 0.954 is nine hundred and fifty four thousandths.
There is a th at the end of thousandths to signify that the number is in decimals and not a whole number.
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Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0
3 years ago
Which of the following is the best estimate of the square root of 160
Virty [35]

Answer:

12-13

Step-by-step explanation:

the actual number is 12.64 whether your round up or down is up to you

6 0
3 years ago
Read 2 more answers
Select the equivalent expression
slava [35]
Answer: c
hope this helps!
7 0
3 years ago
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X \sim Bin (<em>n</em> = 5, <em>p</em> = 1/33).

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.

A random sample of <em>n</em> = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable <em>X</em> satisfies all criteria of a Binomial distribution.

The criteria are:

  • Number of observations is constant
  • Independent trials
  • Each trial has only two outcomes: Success and Failure
  • Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).

7 0
3 years ago
Read 2 more answers
Rationalize the denominator and simplify 6/√2-√3
ss7ja [257]
Answer:

<span>=3<span>√6</span>−3<span>√5</span></span>

Explanation:

<span>3<span><span>√5</span>+<span>√6</span></span></span>

We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>

<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>

<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>

<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>

5 0
3 years ago
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